Pith Number

pith:V7HVZ2W7

pith:2013:V7HVZ2W7KOIHUXXRMV4ISKOBZW

not attested not anchored not stored refs pending

The number of profinite groups with a specified Sylow subgrou

Colin D. Reid

arxiv:1301.2112 v1 · 2013-01-10 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7HVZ2W7KOIHUXXRMV4ISKOBZW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:36:47.461198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afcf5ceadf53907a5ef165788929c1cdb64cc0f721a81b27085fc4a348a93f02

Aliases

arxiv: 1301.2112 · arxiv_version: 1301.2112v1 · doi: 10.48550/arxiv.1301.2112 · pith_short_12: V7HVZ2W7KOIH · pith_short_16: V7HVZ2W7KOIHUXXR · pith_short_8: V7HVZ2W7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/V7HVZ2W7KOIHUXXRMV4ISKOBZW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: afcf5ceadf53907a5ef165788929c1cdb64cc0f721a81b27085fc4a348a93f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abd6887061a52a7395b09a1f72d871ecc81959aefed407767140beffe9dd1ed0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-10T13:16:34Z",
    "title_canon_sha256": "123a18208b83cc3a74fd8e4eb7cf6db485b528a8f4d9f6c85f5fe887bd5984b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2112",
    "kind": "arxiv",
    "version": 1
  }
}